In a survey of 8000 people in a city it was found that
5200 people read magazine X,
4320 read Y, 3600 read Z,
3040 read X and Y,
2560 read Y and Z,
2240 read X and Z.
If 960 people do not read any of the 3 magazines, find the number of people who read
(1) all the 3 magazines
(ii) exactly 1 magazine
.
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2300
Let n(X)=8000
n(T)=people who read 'Times of India'=3500
n(I)=people who read 'Indian Express'=3000
n(T∩I)=800
∴no.of people who read newspaper=n(T)+n(I)−n(T∩I)
⇒3500+3000−800=5700
Total people=8000
∴no.of people who neither read both newspaper=8000−5700=2300
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